THE OSCILLATION–ROTATION ATTRACTORS IN THE FORCED PENDULUM AND THEIR PECULIAR PROPERTIES

DOI10.1142/S0218127402004231zbMath1051.70016OpenAlexW2120730220MaRDI QIDQ4736337

Elżbieta Tyrkiel, Wanda Szemplińska-Stupnicka

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402004231

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Parametric identification of a base-excited single pendulum ⋮ Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum ⋮ Synchronous rotations in parametrically excited pendula ⋮ Phase locking and rotational motion of a parametric pendulum in noisy and chaotic conditions ⋮ Stochastic synchronization of rotating parametric pendulums ⋮ APPROXIMATE ROTATIONAL SOLUTIONS OF PENDULUM UNDER COMBINED VERTICAL AND HORIZONTAL EXCITATION ⋮ BIFURCATION CONTROL OF A PARAMETRIC PENDULUM ⋮ SYNCHRONIZATION OF SLOWLY ROTATING PENDULUMS ⋮ Synchronous states of slowly rotating pendula ⋮ Influence of nonlinearity on transition curves in a parametric pendulum system ⋮ Rotating orbits of a parametrically-excited pendulum ⋮ AN IMPERFECT MICROBEAM UNDER AN AXIAL LOAD AND ELECTRIC EXCITATION: NONLINEAR PHENOMENA AND DYNAMICAL INTEGRITY ⋮ ESTIMATION OF CHAOTIC THRESHOLDS FOR THE RECENTLY PROPOSED ROTATING PENDULUM

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• On the resonant response of a weakly damped, non-linear oscillator
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• APPROACHING NONLINEAR DYNAMICS BY STUDYING THE MOTION OF A PENDULUM I: OBSERVING TRAJECTORIES IN STATE SPACE
• APPROACHING NONLINEAR DYNAMICS BY STUDYING THE MOTION OF A PENDULUM II: ANALYZING CHAOTIC MOTION
• Crises, sudden changes in chaotic attractors, and transient chaos
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